Question

Solve: x^+4/x-1 = 5/x-1

Answer 1

The first step for solving this equation is to determine the defined range.
$\frac{ x^{4} }{x-1} = \frac{5}{x-1}$, x ≠ 1
Remember that when the denominators of both fractions are the same,, you need to set the numerators equal. This will look like the following:
$x^{4}$ = 5
Take the root of both sides of the equation and remember to use both positive and negative roots.
x +/- $\sqrt[4]{5}$
Separate the solutions.
x = $\sqrt[4]{5}$           , x ≠ 1
x = -$\sqrt[4]{5}$ 
Check if the solution is in the defined range.
x = $\sqrt[4]{5}$ 
x = -$\sqrt[4]{5}$ 
This means that the final solution to your question are the following:
x = $\sqrt[4]{5}$          
x = -$\sqrt[4]{5}$ 
Let me know if you have any further questions.
:)